Abstract: A non-circular sliver container (1) is used for transporting sliver (2) to a spinning machine having a support table (3) fixed to one of its rounded ends at its upper edge. A groove (31) for receiving a reinforced introducing point (4) of the sliver (2) is provided. A recess (32) is provided in the groove (31) for allowing the point (4) of the sliver (2) to be gripped and inserted int a spinning machine.